%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET108-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:32:04 AM UTC 2026
% Result : Unsatisfiable 20.82s 3.04s
% Output : CNFRefutation 20.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 11 ( 3 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_existence_of_1st_and_2nd_1_1,negated_conjecture,
member('ordered$upair'(y,z),'cross$uproduct'('universal$uclass','universal$uclass')) ).
cnf(prove_existence_of_1st_and_2nd_1_2,negated_conjecture,
~ member('ordered$upair'(first('ordered$upair'(y,z)),second('ordered$upair'(y,z))),'cross$uproduct'('universal$uclass','universal$uclass')) ).
cnf(cartesian_product4,axiom,
( 'ordered$upair'(first(X0),second(X0)) = X0
| ~ member(X0,'cross$uproduct'(X1,X2)) ) ).
cnf(c61,plain,
member('ordered$upair'(y,z),'cross$uproduct'('universal$uclass','universal$uclass')),
inference(clausification,[status(esa)],[prove_existence_of_1st_and_2nd_1_1]) ).
cnf(c62,plain,
~ member('ordered$upair'(first('ordered$upair'(y,z)),second('ordered$upair'(y,z))),'cross$uproduct'('universal$uclass','universal$uclass')),
inference(clausification,[status(esa)],[prove_existence_of_1st_and_2nd_1_2]) ).
cnf(c79,plain,
( 'ordered$upair'(first(X0),second(X0)) = X0
| ~ member(X0,'cross$uproduct'(X1,X2)) ),
inference(clausification,[status(esa)],[cartesian_product4]) ).
cnf(d0,plain,
'ordered$upair'(first('ordered$upair'(y,z)),second('ordered$upair'(y,z))) = 'ordered$upair'(y,z),
inference(resolution,[status(thm)],[c79,c61]) ).
cnf(d1,plain,
~ member('ordered$upair'(y,z),'cross$uproduct'('universal$uclass','universal$uclass')),
inference(demodulation,[status(thm)],[c62,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c61,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET108-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 07:08:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.82/3.04 % SZS status Unsatisfiable for theBenchmark.p
% 20.82/3.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------